There are 6 boxes, 2 of type A and 4 of type B. Type A boxes each contain 2 green marbles and 3 red marbles. Type B boxes each contain 1 green marble and 3 red marbles. A box is selected at random and a marble is drawn from the selected box. Find the probability that a. a red marble is selected,  b. a type A box is chosen given that a red marble is selected.

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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There are 6 boxes, 2 of type A and 4 of type B. Type A boxes each contain 2 green marbles and 3 red marbles. Type B boxes each contain 1 green marble and 3 red marbles. A box is selected at random and a marble is drawn from the selected box. Find the probability that

a. a red marble is selected, 

b. a type A box is chosen given that a red marble is selected. 

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